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Complexity and Evolution of Dissipative Systems: An Analytical Approach

  • Based on new basic results
  • Advanced methods in bioinformatics and mathematical biology
  • A new, general and mathematically rigorous approach to a large class of networks and spatially extended systems important in applications

Series: De Gruyter Series in Mathematics and Life Sciences Volume: 4

By: Sergey Vakulenko(Author)

De Gruyter

Hardback | Nov 2013 | #207591 | ISBN-13: 9783110266481
Availability: Usually dispatched within 1-2 weeks Details
NHBS Price: £119.00 $167/€135 approx

About this book

Complexity and Evolution of Dissipative Systems focusses on the dynamic complexity of neural and genetic networks, reaction diffusion systems and equations of fluid dynamics. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for Navier Stokes equations is given.

Complexity and Evolution of Dissipative Systems considers viability problems for such systems – viability under extreme random perturbations – and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems.

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